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Finding the Third Proportional to 65,419,884 and 142,722,585

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Solution

The third proportional to 65,419,884 and 142,722,585 is: 311,369,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,419,884 : 142,722,585 = 142,722,585 : x
  2. Step 2: Convert to fraction form
    65,419,884/142,722,585 = 142,722,585/x
  3. Step 3: Cross multiply
    65,419,884x = 142,722,585 × 142,722,585
  4. Step 4: Simplify right side
    65,419,884x = 20,369,736,269,082,224
  5. Step 5: Solve for x
    x = 20,369,736,269,082,224/65,419,884
  6. Step 6: Final answer
    x = 311,369,189.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.